Adding a constructor to One does not make any difference. Would have been nice if you could have named those "little things" since I have already read the man page, and all of "Intermediate Perl" (the OO book).

AFAICT it simply isn't possible to call a method from One in Two without using a class prefix. Simple confirmation of this (from someone who knows) will suffice, using One::test() instead of test() is fine, it just seems slightly silly, since One inherited Two's methods.